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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Oscillation theory ： ウィキペディア英語版 Oscillation theory In mathematics, in the field of ordinary differential equations, a nontrivial solution to an ordinary differential equation :$F(x,y,y\text{'},\backslash \; \backslash dots,\backslash \; y^)=y^\; \backslash quad\; x\; \backslash in\; [0,+\backslash infty)$ is called oscillating if it has an infinite number of roots, otherwise it is called non-oscillating. The differential equation is called oscillating if it has an oscillating solution. The number of roots carries also information on the spectrum of associated boundary value problems. == Examples == The differential equation :$y\text{'}\text{'}\; +\; y\; =\; 0\backslash$ is oscillating as sin(''x'') is a solution. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Oscillation theory」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.